Bequia has a rich fishing heritage, which is still very much alive on the island. Many people of the restaurants go out fishing every day, serving the fish in the evening. And since many of the tourists and locals eat fish every day, there are many people working as fishermen.
Why not do as some of the inhabitants and catch your own dinner? If you are not ready for fishing, you can always find a fisherman offering fresh lobster and fish. Look for the fishermen at the shore of Port Elizabeth.